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What percentage of 2 hours is 36 minutes?

Last updated date: 09th Sep 2024
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Hint: In this question, we need to determine that 36 minutes is how much percentage of 2 hours. For this, we will convert the units in one form and then evaluate the percentage by following the relation between both the quantities.

$\Rightarrow 1hr = 60\min \\ \Rightarrow 2hr = 2 \times 60\min \\ \Rightarrow = 120\min \\$
Now, 100 times the ratio of first quantity and the second quantity results in the percentage of the first quantity with respect to the second quantity. Mathematically, ${P_{ab}} = \dfrac{a}{b} \times 100\%$ where, ${P_{ab}}$ is the percentage of ‘a’ with respect to ‘b’.
So, substitute a=36 minutes and b=120 minutes in the equation ${P_{ab}} = \dfrac{a}{b} \times 100\%$ to determine the percentage of 36 minutes with respect to 120 minutes.
$\Rightarrow {P_{ab}} = \dfrac{a}{b} \times 100\% \\ = \dfrac{{36}}{{120}} \times 100\% \\ = \dfrac{3}{{10}} \times 100\% \\ = 0.3 \times 100\% \\ = 30\% \\$
$\Rightarrow {P_{ab}} = \dfrac{a}{b} \times 100\% \\ = \dfrac{{\left( {\dfrac{3}{5}} \right)}}{2} \times 100\% \\ = \dfrac{3}{{10}} \times 100\% \\ = 0.3 \times 100\% \\ = 30\% \\$